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Finding the Fourth Proportional to 108.01, 161.90 and 69.56

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Solution

The fourth proportional to 108.01, 161.90 and 69.56 is: 104.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    108.01 : 161.90 = 69.56 : x
  2. Step 2: Convert to fraction form
    108.01/161.90 = 69.56/x
  3. Step 3: Cross multiply
    108.01x = 161.90 × 69.56
  4. Step 4: Simplify right side
    108.01x = 11,261.82
  5. Step 5: Solve for x
    x = 11,261.82/108.01
  6. Step 6: Final answer
    x = 104.27

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.